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Information-theoretic uncertainty relations formulate the jointimmeasurability of two non-commuting observables in terms of informationentropies. The trade-off of the accuracy in the outcome of two successivemeasurements manifests in entropic noise-disturbance uncertainty relations.Recent theoretical analysis predicts that projective measurements are notoptimal, with respect to the noise-disturbance trade-offs. Therefore theresults in our previous letter [PRL 115, 030401 (2015)] are outperformed bygeneral quantum measurements. Here, we experimentally test a tightinformation-theoretic measurement uncertainty relation for three-outcomepositive-operator valued measures (POVM), using neutron spin-1/2 qubits. Theobtained results violate the lower bound for projective measurements astheoretically predicted.

Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Three-Outcome Qubit Measurements